The 3rd party spacer just sits on top of the original 321 enlargement ring. The 3572.50 has a different design enlargement ring from both the standard 861/1861 and the 321. Although the internal case sizes are the same, the 321 enlargement ring has holes for the pusher actuators (and stem) whereas the 1863 enlargement ring has slots for the pushers. This means the enlargement ring for the 861/1861/1863 can be removed without removing the movement from the case but for the 321 you have to remove the movement in order to remove the enlargement ring from it.
I think 321 enlargement ring has holes instead of slots because the holes are designed to keep the pusher actuators in place, the 1863 movement has a different design.
So to answer your question, yes you would need a different design enlargement ring. Possibly the same as the 1863 enlargement ring but with holes instead of the slots, it might be possible to use the 1863 enlargement ring but I've never tried it on mine.
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